256885586231040 has 2304 divisors, whose sum is σ = 1123760484403200. Its totient is φ = 54856491466752.

The previous prime is 256885586230997. The next prime is 256885586231063. The reversal of 256885586231040 is 40132685588652.

256885586231040 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 8 + 5 + 586 + 2 + 3 + 1 + 0 + 40 = 666.

256885586231040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5369321359 + ... + 5369369201.

It is an arithmetic number, because the mean of its divisors is an integer number (487743265800).

Almost surely, 2^{256885586231040} is an apocalyptic number.

256885586231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256885586231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561880242201600).

256885586231040 is an abundant number, since it is smaller than the sum of its proper divisors (866874898172160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256885586231040 is a wasteful number, since it uses less digits than its factorization.

256885586231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47959 (or 47939 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 256885586231040 in words is "two hundred fifty-six trillion, eight hundred eighty-five billion, five hundred eighty-six million, two hundred thirty-one thousand, forty".